Dimensionless expressions are presented which correlate both sets of data for pressure drop and suspending velocity in terms of sphere/tube diameter ratio, tube diameter, density of solid and fluid and angle of inclination of the tube.
For moderately large and low values of Da, the study is carried out numerically, yielding, in particular, the propagation velocity in terms of Da, for different values of LeF.
It was found that many cubic elements are exceptions with regard to the assumed constant scaling factor for the expression of the average sound velocity in terms of the bulk modulus, and consequently the Debye temperature of a cubic element must be calculated from the knowledge of all the elastic constants of the system.
The app stores' charts currently tend to only recognize metrics like numbers of downloads combined with velocity, in terms of ranking popular apps.
Assuming three-dimensional stratified geostrophic vortices of finite volume and potential vorticity of arbitrary vertical structure but piecewise-constant distribution in the horizontal direction, we derive equations for the velocity field in terms of surface integrals over the boundary of the vortex regions.
Following Isaacson's [Isaacson, Micheal de St. Q., 1983. Solitary wave diffraction around large cylinder. Journal of the Waterway, Port, Coastal and Ocean Engineering 109(121 127.127.] approach, we obtained the solutions for free-surface elevation and the corresponding velocity potential in terms of Fourier integrals.
The FD-cell integrates the velocity information in terms of the conductances gV(i) and gI(i), respectively.
An explicit formula for the creep velocity is derived in terms of the end conditions, superficial velocity, heat capacity ratio between phases, and heat of reaction.
With this, we can solve Eq. (17) for the velocity of sound in terms of τ - substituting Eq. (20) in Eq. (17) as (21).
Solutions of the radiation and scattering problems are achieved by application of Green's theorem and Green's function yielding a system of hypersingular integral equations for the velocity potential expanded in terms of Legendre polynomials.
